On the asymptotics of convergence of trigonometric Hermite–Jacobi approximations and nonlinear Hermite–Chebyshev approximations

The paper describes the asymptotic behavior of trigonometric Hermite–Jacobi approximations and nonlinear Hermite–Chebyshev approximations for the systems of special functions associated with Mittag–Leffler functions. The exact ordinal estimates of uniform deviations of the indicated approximations from the corresponding special functions are found. In some cases, the obtained ordinal estimates are asymptotically exact.